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Bartlett's theorem : ウィキペディア英語版
Bartlett's theorem

In queueing theory, Bartlett's theorem gives the distribution of the number of customers in a given part of a system at a fixed time.
==Theorem==
Suppose that customers arrive according to a non-stationary Poisson process with rate ''A''(''t''), and that subsequently they move independently around a system of nodes. Write ''E'' for some particular part of the system and ''p''(''s'',''t'') the probability that a customer who arrives at time ''s'' is in ''E'' at time ''t''. Then the number of customers in ''E'' at time ''t'' has a Poisson distribution with mean
::\mu(t) = \int_^t A(s) p(s,t) \, \mathrmt.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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